Algebra I Trimester Curriculum Revised 9/4/15 Algebra IA 60 days (36 intructional : 7 review : 7 assessment) (3 days missed) (2 days final assessment) (5 days: Aleks : CDT) Unit 1 - Operations with Real Numbers Total Days: 8 days No calculator section whole numbers; Calculator section decimals and fractions - Objective 1 Identify or define natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, absolute value, identity property of addition, additive property of addition, definition of subtraction(add the opposite), identity property of multiplication, multiplicative inverse property- - Objective 2 Add and subtract numbers with like and unlike signs (No calc)) - Objective 3 - Multiply and divide positive and negative numbers (No calc) - Objective 4 - Simplify expressions involving opposites and absolute values (No calc) - Objective 5 Compare and order real numbers (comparing two numbers, ordering multiple numbers using different forms; with calc - Objective 6 Evaluate expressions using order of operations (with calc) Note: Square Roots: include perfect squares and non-perfect squares in comparing objective and perfect square in order of operations. Unit 2 - From Patterns to Algebra - Total Days: 6 days (4 instructional : 1 review : 1 assessment) - Objective 1- Define constant difference, term, variable, expression, and equation- - Objective 2 - Use variables to represent unknown quantities including real world situations- - Objective 3 - Translate words into expressions - Objective 4 - Evaluate expressions using the algebraic order of operations- Make more difficult, more involved - Objective 5 - Substitute values into algebraic expressions- - Objective 6 Analyze a set of data for the existence of a pattern by completing a table or a sequence (10 Points) A1.2.1.1.1 1
Unit 3 - Properties for Simplifying Algebraic Expressions: Total Days: 8 days - Objective 1 Identify/Apply (not define)commutative property of addition, commutative property of multiplication, associative property of addition, associative property of multiplication, distributive property, coefficient, constant, exponent, like terms, and base- - Objective 2 Solve two-step equations- - Objective 4 Solve multistep equations- - solve multistep where you need to combine like terms first - Solve multistep equations with variables on both sides - Objective 5 Use distributive property to solve equations- Unit 4 Functions and Relations: Total Days: 6 days (4 instructional : 1 review : 1 assessment) Keystone Standards: A1.2.1.1.1; A1.2.1.1.2; A1.2.1.1.3; A1.2.1.2.2 1 Define relation, function, domain, range, linear equation, independent variable, dependent variable coordinate plane, x-axis, and y-axis- Might need to change 2 Be able to determine if a relation is a function given ordered pairs or a table A1.2.1.1.2 3 Be able to determine if a relation is a function given a graph (including piecewise) A1.2.1.1.2 4 Be able to identify the domain and range of a relation given ordered pairs or a table A1.2.1.1.3 5 Be able to identify the domain and range of a relation given a graph (including piecewise graphs) A1.2.1.1.3 Unit 5 Linear Functions: Total Days: 8 days Keystone Standards: A1.2.1.2.1; A1.2.1.2.2; A1.2.2.1.1; A1.2.2.1.4 (75 Total Points) 1 Define linear equation, slope, -intercept, -intercept, slope-intercept form, and standard form 2 Identify the -intercept and -intercept given a graph A1.2.2.1.4 3 Identify the -intercept and -intercept given an equation A1.2.2.1.4 4 Determine the slope of a line given a graph A1.2.2.1.4 5 Determine the slope of a line given two points A1.2.2.1.1 6 Determine the slope of a line given an equation A1.2.2.1.1 7 Convert a linear equation to slope-intercept form A1.2.1.2.1; A1.2.1.2.2 8 Convert a linear equation to standard form A1.2.1.2.1; A1.2.1.2.2 2
Unit 6 Graphing Linear Equations: Total Days: 6 days (4 instructional : 1 review : 1 assessment) Keystone Standards: A1.1.2.1; A1.2.2.1.1 1 Identify and describe constant rates of change (no predictions) A1.2.2.1.1 2 Graph an equation in slope-intercept form A1.1.2.1 3 Graph an equation in standard form A1.1.2.1 4 Graph horizontal and vertical lines A1.1.2.1 Unit 7 Writing Linear Equations: Total Days: 8 days Keystone Standards: A1.1.2.1.1; A1.1.2.1.3; A1.2.1.2.1; A1.2.2.1.2; A1.2.2.1.3 1 Write or identify a linear equation given a graph (includes horizontal and vertical) A1.2.2.1.3 2 Write or identify a linear equation given the slope and point on the line A1.2.2.1.3 3 Write or identify a linear equation given two points on the line or a table A1.2.2.1.3, A1.2.1.2.2 4 Model a situation with a linear equation A1.1.2.1.3; A1.1.2.1.1; A1.2.1.2.1; A1.2.2.1.2 5 Be able to represent a sequence as an expression and make predictions for the sequence. A1.2.1.2.2; A1.2.1.1.1 3
Algebra IB 60 days (37 intructional : 7 review : 7 assessment) (3 days missed) (2 days final assessment) (4 days: Aleks : CDT) Unit 8 Inequalities Total Days: 8 days Keystone Standards: A1.1.3.1; A1.1.3.1.1; A1.1.3.1.2; A1.1.3.1.3 Objective 1 Identify inequality symbols A1.1.3.1 Objective 2 Graph an inequality on a number line A1.1.3.1.2 Objective 3 Given a graph, determine if a value is a solution. Objective 4 Graph a compound inequality on a number linea1.1.3.1.1 Objective 5 Solve linear inequalities A1.1.3.1.1 Objective 6 Solve compound linear inequalities A1.1.3.1.1 Objective 7 Model situations using linear inequalities A1.1.3.1.3 Unit 9 Systems of Equations Total Days: 8 days Keystone Standards: A1.1.2.2.1 Objective 1 Determine whether a point is a solution to a system of equations A1.1.2.2.1 Objective 2 Solve a system of equations by graphing (including infinite solutions, no solutions, and one solution) A1.1.2.2.1 Objective 3 Solve a system of equations using the substitution method A1.1.2.2.1 Objective 4 Solve a system of equations using the elimination method A1.1.2.2.1 Objective 5 Write, solve, and interpret systems of equations in the context of problem situations A1.1.2.2.1 Unit 10 Systems of Inequalities Total Days: 8 days Keystone Standards: A1.3.2.1.2; A1.1.3.2.1; A1.1.3.2.2 Objective 1 Graph the solution to a linear inequality A1.1.3.1.2 Objective 2 Solve a system of inequalities by graphing A1.1.3.2.1 Objective 3 Determine whether a point is a solution to a system of inequalities A1.1.3.2.1 Objective 4 Write a linear inequality or system of linear inequalities given a graph A1.1.3.2.1 Objective 5 - Write, solve, and interpret systems of inequalities in the context of problem situations A1.1.3.2.2 4
Unit 11 - Absolute Value Unit Total 5 days: (3 instructional : 1 review : 1 assessment) Keystone Standards: A1.1.1.3.1 Objective 1 Simplify and/or evaluate expressions with absolute value A1.1.1.3.1 Objective 2 Solve absolute value equations A1.1.1.3.1 Objective 3 Solve and graph absolute value inequalities A1.1.1.3.1 Unit 12 Exponents - Total Days: 8 days Keystone Standards: A1.1.1.3.1 Instruction: 5 Days A1.1.1.3.1 All under this anchor Objective 1 Simplify exponents using the Product-of-Powers Property Objective 2 Simplify exponents using the Power-of-a-Power Property Objective 3 Simplify exponents using the Power-of-a-Product Property Objective 4 - Simplify exponents using the Quotient-of-Powers Property Objective 5 - Simplify exponents using the Power-of-a-Quotient Property Objective 6 Simplify exponents using the Zero Exponent Property Objective 7 Simplify exponents using the Negative Exponent Property Objective 8 Simplify exponents using multiple properties Objective 9- Express large and small numbers in scientific notation- Objective 10- Express numbers from scientific notation to standard notation Unit 13 Radical Expressions Total Days: 6 days (4 instructional : 1 review : 1 assessment) Keystone Standards: A1.1.1.1.2; A1.1.1.3.1 Objective 1 Estimate the square root of a number Objective 1 Simplify a radical expression (without variables) A1.1.1.1.2 Objective 2 Add and/or Subtract radicals (without having to simplify first) A1.1.1.3.1 Objective 3 Multiply radicals (without variables) A1.1.1.3.1 Objective 4 Simplify radical expression by rationalizing the denominator A1.1.1.3.1 5
Unit 14 Adding/Subtracting/Multiplying Polynomials Total Days: 8 days Keystone Standards: A1.1.1.2.1; A1.1.1.5.1 Objective 1 Classify a polynomial by degree and/or number of terms Objective 2 Add polynomial expressions and express answer in simplest form A1.1.1.5.1 Objective 3 Subtract polynomial expressions and express answer in simplest form A1.1.1.5.1 Objective 4 Multiply polynomial expression by a monomial and express answer in simplest form A1.1.1.5.1 Objective 5 Multiply two binomials and express answer in simplest form A1.1.1.5.1 Objective 6 Multiply binomial by a trinomial and express answer in simplest form A1.1.1.5.1 Objective 7 Use multiple operations to simplify a polynomial A1.1.1.5.1 Objective 8 Find the GCF of monomials A1.1.1.2.1 Objective 9 Find the LCM of monomials A1.1.1.2.1 6
Algebra IC 60 days (37 intructional : 5 review : 6 assessment) (3 days missed) (3 days final assessment) (6 days: Aleks : CDT) Unit 15 Factoring Polynomials Total Days: 10 days (8 instructional : 1 review : 1 assessment) Keystone Standards: A1.1.1.5.2; A1.1.1.5.3 Objective 1 Factor a polynomial using the GCF A1.1.1.5.2 Objective 2 Factor a difference of squares A1.1.1.5.2 Objective 3 Factor a polynomial in the form + + A1.1.1.5.2 Objective 4 Factor a polynomial in one step using the different factoring methods from objectives 1-3 A1.1.1.5.2 Objective 5 Factor a polynomial in two steps where the first step is factoring out the GCF and the second step is factoring a difference of squares or + + A1.1.1.5.2 Objective 6 Simplify a rational algebraic expression by factoring A1.1.1.5.3 Unit 16 Probability: Total Days: 7 days (5 instructional : 1 review : 1 assessment) - Objective 1 Define theoretical probability, favorable outcome, experimental probability, compound events, sample space, Venn diagram, intersection, addition of probabilities principle, and independent events- - Objective 2 Find the experimental probability that an event will occur- - Objective 3 Find the theoretical probability that an event will occur- - Objective 4 Find the sample space of an experiment- - Objective 5 Find the union and intersection of events- - Objective 6 Apply the addition of probabilities principle- - Objective 7 Find the probability of independent events- - Objective 8 Find the probability for compound events- 7
Unit 17 Measures of Central Tendencies: Total Days: 7 days (5 instructional : 1 review : 1 assessment) - Objective 1 Define mean, median, mode, range, stem-and-leaf plot, histogram, and box-and-whisker plot - Objective 2 Find the mean of a set of data - Objective 3 Find the median of a set of data - Objective 4 Find the mode of a set of data - Objective 5 Interpret line graphs - Objective 6 Interpret bar graphs - Objective 7 Interpret circle graphs - Objective 8 Interpret histograms - Unit 10 B Stem and Leaf and Box-and-Whisker Plots - Objective 1 Interpret Stem-and-leaf plots- - Objective 2 Represent data with stem-and-leaf plots- - Objective 3 Interpret box-and-whisker plots- - Objective 4 Represent data with box-and-whisker plots- ** Find mean, median, mode, range from stem and leaf; have interpretation questions with quartiles (both box and whisker and stem and leaf). Unit 18 Keystone Review Total Days: 12 days (9 instructional : 1 review : 2 assessment) After Keystone: Total Days: 12 days (10 days instructional : 1 days review : 1 assessments) - Objective 1 Define literal equation, formula, consecutive, and integer-objective 2 Solve literal equation for a specific variable- - Objective 3 Use formulas to solve problems- - Objective 5 Use formulas to answer word problems (give them formulas) 8